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Finding the Fourth Proportional to 3,107.94, 4,659.66 and 1,027.26

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Solution

The fourth proportional to 3,107.94, 4,659.66 and 1,027.26 is: 1,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.94 : 4,659.66 = 1,027.26 : x
  2. Step 2: Convert to fraction form
    3,107.94/4,659.66 = 1,027.26/x
  3. Step 3: Cross multiply
    3,107.94x = 4,659.66 × 1,027.26
  4. Step 4: Simplify right side
    3,107.94x = 4,786,682.33
  5. Step 5: Solve for x
    x = 4,786,682.33/3,107.94
  6. Step 6: Final answer
    x = 1,540.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.